Quantitative Aptitude - Arithmetic Ability Questions

What is the remainder when 6729 is divided by 35?

If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?

Calculate the value of 55-5, if the value of √5 = 2.236.

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

If 5 sin2θ+ 4 cos2θ= 9/2 and 0 <θ<Π/2 then tanθ is equal to?

If a3- b3= 91 and a - b = 1, then what is the value of ab?

The value of (sec245 - cot245) - (sin230 + sin260) is